題組內容

5. (12%) For the differential equation $y''(t) + y(t) = r(t)$ where $$r(t) = \begin{cases} 1, & 0 < t < 1 \\ 0, & \text{otherwise}, \end{cases}$$

(2) \( (6\%) \) solve the differential equation if \( y(0) = y'(0) = 0 \).